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102222000 = 243453631
BaseRepresentation
bin1100001011111…
…00100010110000
321010100102020000
412011330202300
5202132101000
614050550000
72350605216
oct605744260
9233312200
10102222000
11527799a1
122a298300
1318240cba
14d80ccb6
158e93000
hex617c8b0

102222000 has 200 divisors, whose sum is σ = 369818592. Its totient is φ = 27216000.

The previous prime is 102221989. The next prime is 102222023. The reversal of 102222000 is 222201.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161685 + ... + 162315.

Almost surely, 2102222000 is an apocalyptic number.

102222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184909296).

102222000 is an abundant number, since it is smaller than the sum of its proper divisors (267596592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102222000 is an equidigital number, since it uses as much as digits as its factorization.

102222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 102222000 is about 10110.4896023882. The cubic root of 102222000 is about 467.5716000795.

Adding to 102222000 its reverse (222201), we get a palindrome (102444201).

The spelling of 102222000 in words is "one hundred two million, two hundred twenty-two thousand".